Question

Mohr's circle represents: A Orientation dependence of normal and shear stresses at a point in mechanical members B The stress distribution in the cross-section of a mechanical member C. Relation between the shear and normal stresses at a point in mechanical members D.Principal stresses and maximum shear stress only

Answer 1

The correct answer is A : Orientation dependence of normal and shear stresses at a point in mechanical members

Step-by-step explanation:

Since we know that in a general element of any loaded object the normal and shearing stresses vary in the whole body which can be mathematically represented as

`\sigma _(x'x')=(\sigma _(xx)+\sigma _(yy))/(2)+(\sigma _(xx)-\sigma _(yy))/(2)cos(2\theta )+\tau _(xy)sin(2\theta )`

And
`\tau _(x'x')=-(\sigma _(xx)-\sigma _(yy))/(2)sin(2\theta )+\tau _(xy)cos(2\theta )`

Mohr's circle is the graphical representation of the variation represented by the above 2 formulae in the general oriented element of a body that is under stresses.

The Mohr circle is graphically displayed in the attached figure.